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Finding the Fourth Proportional to 516.33, 774.50 and 285.21

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Solution

The fourth proportional to 516.33, 774.50 and 285.21 is: 427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.33 : 774.50 = 285.21 : x
  2. Step 2: Convert to fraction form
    516.33/774.50 = 285.21/x
  3. Step 3: Cross multiply
    516.33x = 774.50 × 285.21
  4. Step 4: Simplify right side
    516.33x = 220,893.72
  5. Step 5: Solve for x
    x = 220,893.72/516.33
  6. Step 6: Final answer
    x = 427.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.